13983300 has 72 divisors (see below), whose sum is σ = 44962400. Its totient is φ = 3728160.

The previous prime is 13983293. The next prime is 13983317. The reversal of 13983300 is 338931.

13983300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111 + ... + 5289.

Almost surely, 2^13983300 is an apocalyptic number.

13983300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13983300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481200).

13983300 is an abundant number, since it is smaller than the sum of its proper divisors (30979100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13983300 is a wasteful number, since it uses less digits than its factorization.

13983300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13983300 is about 3739.4250895024. The cubic root of 13983300 is about 240.9183564405.

The spelling of 13983300 in words is "thirteen million, nine hundred eighty-three thousand, three hundred".